In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued Gb-metric spaces. Moreover, we define α− (F, ψ, φ) -contractive type and α-admissible mapping. Then we prove a fixed point theorem using these notions and the complex C-class function. The obtained results generalize some facts in the literature.
- Complex C-class function
- Complex valued G-metric space
- Fixed point